Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150l |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-22844531250 = -1 · 2 · 34 · 58 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 5 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,50,-7250] |
[a1,a2,a3,a4,a6] |
Generators |
[85:745:1] |
Generators of the group modulo torsion |
j |
95/162 |
j-invariant |
L |
4.4974328225353 |
L(r)(E,1)/r! |
Ω |
0.55922632728449 |
Real period |
R |
1.3403734776565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150cp1 54150cu1 |
Quadratic twists by: 5 -19 |